Question

Solve using linear systems.

2(x-1) - 3(y-3) = 0
3(x+2) - (y-7) = 20

Answer 1

2x-2-3y+9=0
2x-3y=-7
3x+6-y+7=20
3x-y=7

Answer 2

So now we have: 2x-3y= -7
3x - y = 7

Answer 3

yeaa

Answer 4

Let's take that second equation and solve it for y. We would get y=3x-7

Answer 5

Are you with me so far?

Answer 6

wouldn't it be -y = -3x + 7

Answer 7

oh wait.. y = -(-3x+7) = what u said yes go on

Answer 8

now multiply by -1 to get y

Answer 9

So let's take that value for y which is 3x-7 and put it in the first equation in place of y

Answer 10

2x-3y=-7
2x-3(3x-7)=-7

Answer 11

everything is clear till now

Answer 12

2x-9x+21=-7
-7x=-28
x=4
But y = 3x-7
y=3(4)-7
y=12-7
y=5
So the solution of the system is the ordered pair (4,5) and if you graphed the two equations you were given the lines would cross at (4,5)

Answer 13

damn, tysm

Answer 14

you are welcome